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Anika [276]
3 years ago
12

A new housing development offers homes with a mortgage of $222,000 for 25 years at an annual interest of 8%. Find the monthly mo

rtgage payment.​
Mathematics
1 answer:
Ronch [10]3 years ago
8 0

Using the same formula from your other question:

A = P x (r/12(1+r)^t)/ (1+r/12)^t -1)

A = 222000 x (0.08/12(1+0.08/12)^300 / (1+0.08/12)^300 - 1)

A = $1,713.43 per month

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Determine the singular points of the given differential equation. Classify each singular point as regular or irregular. (Enter y
ludmilkaskok [199]

Answer:

Step-by-step explanation:

Given that:

The differential equation; (x^2-4)^2y'' + (x + 2)y' + 7y = 0

The above equation can be better expressed as:

y'' + \dfrac{(x+2)}{(x^2-4)^2} \ y'+ \dfrac{7}{(x^2- 4)^2} \ y=0

The pattern of the normalized differential equation can be represented as:

y'' + p(x)y' + q(x) y = 0

This implies that:

p(x) = \dfrac{(x+2)}{(x^2-4)^2} \

p(x) = \dfrac{(x+2)}{(x+2)^2 (x-2)^2} \

p(x) = \dfrac{1}{(x+2)(x-2)^2}

Also;

q(x) = \dfrac{7}{(x^2-4)^2}

q(x) = \dfrac{7}{(x+2)^2(x-2)^2}

From p(x) and q(x); we will realize that the zeroes of (x+2)(x-2)² = ±2

When x = - 2

\lim \limits_{x \to-2} (x+ 2) p(x) =  \lim \limits_{x \to2} (x+ 2) \dfrac{1}{(x+2)(x-2)^2}

\implies  \lim \limits_{x \to2}  \dfrac{1}{(x-2)^2}

\implies \dfrac{1}{16}

\lim \limits_{x \to-2} (x+ 2)^2 q(x) =  \lim \limits_{x \to2} (x+ 2)^2 \dfrac{7}{(x+2)^2(x-2)^2}

\implies  \lim \limits_{x \to2}  \dfrac{7}{(x-2)^2}

\implies \dfrac{7}{16}

Hence, one (1) of them is non-analytical at x = 2.

Thus, x = 2 is an irregular singular point.

5 0
3 years ago
Is 5 and four fifths = 5.8
nekit [7.7K]
Yes. That's exactly right. Good work.
6 0
3 years ago
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A persons resting heart rate is typically between 60 and 100 beats per minute. Noah looks at his watch, and counts 8 heartbeats
gulaghasi [49]

Its typical because  60 between 100. 8 times 10 seconds equals 80 which is in between so Noah's heart rate is typical.

4 0
3 years ago
Paul owes Paula 3535 cents and has a pocket full of 55-cent coins, 1010-cent coins, and 2525-cent coins that he can use to pay h
Ray Of Light [21]
Paul owes paula 35 cents...she has a pocket full of nickels,dimes,and quarters.

largest number of coins would be : 7 nickels (7 coins)
smallest number of coins would be : 1 quarter and 1 dime (2 coins)

the difference is : 7 - 2 = 5 coins <=
4 0
3 years ago
What is in simplest form?<br><br> A. <br> B. <br> C. <br> D.
alukav5142 [94]

Answer:

C. 8√3

Step-by-step explanation:

* = multiply or times

To find √192 in its simplest form we need to divide it by a square number like 64.

192/64 = 3

√192 = √64 * √3 = 8√3

7 0
2 years ago
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